213302201032200 has 192 divisors, whose sum is σ = 756878174017920. Its totient is φ = 48678727680000.

The previous prime is 213302201032163. The next prime is 213302201032279. The reversal of 213302201032200 is 2230102203312.

It is a happy number.

213302201032200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36922651 + ... + 42307050.

It is an arithmetic number, because the mean of its divisors is an integer number (3942073823010).

Almost surely, 2^{213302201032200} is an apocalyptic number.

213302201032200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213302201032200 is an abundant number, since it is smaller than the sum of its proper divisors (543575972985720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213302201032200 is a wasteful number, since it uses less digits than its factorization.

213302201032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79230368 (or 79230359 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 213302201032200 its reverse (2230102203312), we get a palindrome (215532303235512).

The spelling of 213302201032200 in words is "two hundred thirteen trillion, three hundred two billion, two hundred one million, thirty-two thousand, two hundred".